352351309537280 has 672 divisors, whose sum is σ = 948591852327360. Its totient is φ = 125262196899840.

The previous prime is 352351309537259. The next prime is 352351309537343. The reversal of 352351309537280 is 82735903153253.

It is a super-2 number, since 2×352351309537280² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74445657794 + ... + 74445662526.

Almost surely, 2^{352351309537280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352351309537280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474295926163680).

352351309537280 is an abundant number, since it is smaller than the sum of its proper divisors (596240542790080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

352351309537280 is a wasteful number, since it uses less digits than its factorization.

352351309537280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5148 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 56.

The spelling of 352351309537280 in words is "three hundred fifty-two trillion, three hundred fifty-one billion, three hundred nine million, five hundred thirty-seven thousand, two hundred eighty".